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- W4366459478 abstract "In this paper we study a recently derived mathematical model for nonlinear propagation of waves in the atmosphere, for which we establish the local well-posedness in the setting of classical solutions. This is achieved by formulating the model as a quasilinear parabolic evolution problem in an appropriate functional analytic framework and by using abstract theory for such problems. Moreover, for $L_2$-initial data, we construct global weak solutions by employing a two-step approximation strategy based on a Galerkin scheme, where an equivalent formulation of the problem in terms of a new variable is used. Compared to the original model, the latter has the advantage that the $L_2$-norm is a Liapunov functional." @default.
- W4366459478 created "2023-04-22" @default.
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- W4366459478 date "2023-04-18" @default.
- W4366459478 modified "2023-10-18" @default.
- W4366459478 title "Weak and classical solutions to an asymptotic model for atmospheric flows" @default.
- W4366459478 doi "https://doi.org/10.48550/arxiv.2304.08985" @default.
- W4366459478 hasPublicationYear "2023" @default.
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